Comparison of approaches for random PDE optimization problems based on different matching functionals
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Publication:2402238
DOI10.1016/j.camwa.2017.02.002zbMath1370.49032OpenAlexW2590409505MaRDI QIDQ2402238
Max D. Gunzburger, Hyung-Chun Lee
Publication date: 7 September 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.002
Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Impulsive optimal control problems (49N25)
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Cites Work
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- Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations
- Optimal control with stochastic PDE constraints and uncertain controls
- Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs
- Optimal control for two-dimensional stochastic Navier-Stokes equations
- A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach
- Optimal control of stochastic differential equations with dynamical boundary conditions
- A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
- Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations
- Weighted Reduced Basis Method for Stochastic Optimal Control Problems with Elliptic PDE Constraint
- Approximating Infinity-Dimensional Stochastic Darcy's Equations without Uniform Ellipticity
- Error Estimates of Stochastic Optimal Neumann Boundary Control Problems
- Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data
- Optimal control of a stochastic heat equation with boundary-noise and boundary-control
- Control of the Stochastic Burgers Model of Turbulence
- Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
- Stochastic finite element methods for partial differential equations with random input data
- Perspectives in Flow Control and Optimization
- New development in freefem++
- Sparse Grid Collocation Method for an Optimal Control Problem Involving a Stochastic Partial Differential Equation with Random Inputs
- STOCHASTIC GALERKIN DISCRETIZATION OF THE LOG-NORMAL ISOTROPIC DIFFUSION PROBLEM
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
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